Abstract
The transient two-dimensional pressure-driven flow of a thin Newtonian fluid film over a flat moving straight substrate is examined in this theoretical study. The interplay among inertia, initial conditions, and substrate movement is examined for a fluid emerging from a channel. The movement of substrate is found to have a significant effect on the flow behavior. Some initial conditions give rise to the formation of a wave that propagates with time and results in a shocklike structure in the flow. The substrate movement is found to delay shock formation. There exists a critical substrate velocity at which the shock is permanently obliterated.
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